Recurrence Analysis as a tool to study chaotic dynamics of extreme mass ratio inspiral in signal with noise
arXiv:1709.08446 · doi:10.1142/S0218271818500104
Abstract
Recurrence analysis is a well settled method allowing to discern chaos from order, and determinism from noise. We apply this tool to study time series representing geodesic and inspiraling motion of a test particle in a deformed Kerr spacetime, when deterministic chaos and different levels of stochastic noise are present. In particular, we suggest a recurrence-based criterion to reveal whether the time series comes from a deterministic source and find a noise-level threshold of its applicability.
arXiv comment16 pages, 6 figures
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